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Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?
- a)25 litres
- b)40 litres
- c)35 litres
- d)20 litres
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How ...
Quantity of milk = (80 x 3/5) = 48 liters
Quantity of water in it = 80 - 48 = 32 liters
New ratio = 2 : 3
Let quantity of water to be added further be x litres
Quantity of water in it = 80 - 48 = 32 liters
New ratio = 2 : 3
Let quantity of water to be added further be x litres
Most Upvoted Answer
Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How ...
Given information:
- Ratio of milk to water in a mixture = 3:2
- Total mixture = 80 litres
To find:
- Amount of water to be added to make the ratio of milk to water equal to 2:3
Solution:
Let's assume that the amount of milk in the mixture is 3x and the amount of water is 2x.
According to the given ratio,
- 3x + 2x = 80
- 5x = 80
- x = 16
So, the amount of milk in the mixture = 3x = 3 × 16 = 48 litres
And the amount of water in the mixture = 2x = 2 × 16 = 32 litres
Now, we need to add some water to the mixture to make the ratio of milk to water equal to 2:3.
Let's assume that we need to add y litres of water.
After adding y litres of water, the total amount of water in the mixture will be 32 + y litres.
And the total amount of milk in the mixture will remain the same, i.e., 48 litres.
So, the new ratio of milk to water will be:
- Milk: 48
- Water: 32 + y
This ratio should be equal to 2:3.
Therefore,
- Milk/Water = 2/3
- 48/(32+y) = 2/3
- 144 = 2(32+y)
- 144 = 64 + 2y
- 2y = 80
- y = 40
Therefore, we need to add 40 litres of water to the mixture to make the ratio of milk to water equal to 2:3.
Hence, the correct answer is option B, i.e., 40 litres.
- Ratio of milk to water in a mixture = 3:2
- Total mixture = 80 litres
To find:
- Amount of water to be added to make the ratio of milk to water equal to 2:3
Solution:
Let's assume that the amount of milk in the mixture is 3x and the amount of water is 2x.
According to the given ratio,
- 3x + 2x = 80
- 5x = 80
- x = 16
So, the amount of milk in the mixture = 3x = 3 × 16 = 48 litres
And the amount of water in the mixture = 2x = 2 × 16 = 32 litres
Now, we need to add some water to the mixture to make the ratio of milk to water equal to 2:3.
Let's assume that we need to add y litres of water.
After adding y litres of water, the total amount of water in the mixture will be 32 + y litres.
And the total amount of milk in the mixture will remain the same, i.e., 48 litres.
So, the new ratio of milk to water will be:
- Milk: 48
- Water: 32 + y
This ratio should be equal to 2:3.
Therefore,
- Milk/Water = 2/3
- 48/(32+y) = 2/3
- 144 = 2(32+y)
- 144 = 64 + 2y
- 2y = 80
- y = 40
Therefore, we need to add 40 litres of water to the mixture to make the ratio of milk to water equal to 2:3.
Hence, the correct answer is option B, i.e., 40 litres.
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Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer?
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Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer?.
Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer?.
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Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?a)25 litresb)40 litresc)35 litresd)20 litresCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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